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Finding the Third Proportional to 420,676 and 912,334

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Solution

The third proportional to 420,676 and 912,334 is: 1,978,609.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,676 : 912,334 = 912,334 : x
  2. Step 2: Convert to fraction form
    420,676/912,334 = 912,334/x
  3. Step 3: Cross multiply
    420,676x = 912,334 × 912,334
  4. Step 4: Simplify right side
    420,676x = 832,353,327,556
  5. Step 5: Solve for x
    x = 832,353,327,556/420,676
  6. Step 6: Final answer
    x = 1,978,609.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.